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Reality TV and cosmetic surgery. Refer to the BodyImage:
Chapter 12, Problem 87E(choose chapter or problem)
Reality TV and cosmetic surgery. Refer to the Body Image: An International Journal of Research (March 2010) study of the impact of reality TV shows on a college student's decision to undergo cosmetic surgery, Exercise 12.43 (p. 696). The data saved in the file were used to fit the interaction model, \(E(y)=\beta_0+\beta_1 x_1+\beta_2 x_4+\beta_3 x_1 x_4\), where y = desire to have cosmetic surgery (25-point scale), \(x_1\) = {1 if male, 0 if female }, and \(x_4=\) impression of reality TV (7-point scale). From the SPSS printout (p. 696), the estimated equation is:
\(\hat{y}=11.78-1.97 x_1+.58 x_4-.55 x_1 x_4\)
a. Give an estimate of the change in desire (y) for every 1-point increase in impression of reality TV show \(\left(x_4\right)\) for female students.
b. Repeat part a for male students.
Questions & Answers
QUESTION:
Reality TV and cosmetic surgery. Refer to the Body Image: An International Journal of Research (March 2010) study of the impact of reality TV shows on a college student's decision to undergo cosmetic surgery, Exercise 12.43 (p. 696). The data saved in the file were used to fit the interaction model, \(E(y)=\beta_0+\beta_1 x_1+\beta_2 x_4+\beta_3 x_1 x_4\), where y = desire to have cosmetic surgery (25-point scale), \(x_1\) = {1 if male, 0 if female }, and \(x_4=\) impression of reality TV (7-point scale). From the SPSS printout (p. 696), the estimated equation is:
\(\hat{y}=11.78-1.97 x_1+.58 x_4-.55 x_1 x_4\)
a. Give an estimate of the change in desire (y) for every 1-point increase in impression of reality TV show \(\left(x_4\right)\) for female students.
b. Repeat part a for male students.
ANSWER:Step 1 of 5
(a)
Estimate value for female:
From the data, the dependent variable is cosmetic surgery and the independent variables are Gender and impression of reality TV . Here, the variable assigns 0 for Female and 1 for Male and is 7-point scale.